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The total cost of food for the raccoons at the Arizona Wildlife Rescue

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The total cost of food for the raccoons at the Arizona Wildlife Rescue  [#permalink]

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New post 12 Nov 2019, 01:02
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The total cost of food for the raccoons at the Arizona Wildlife Rescue has increased as the number of raccoons at the Rescue has increased. If it costs the same amount to feed each raccoon, is the cost of food for 7 raccoons more than $2,000 annually?

(1) It costs more than $1,000 annually to feed 4 raccoons.

(2) It costs more than $1,500 annually to feed 5 raccoons.

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Re: The total cost of food for the raccoons at the Arizona Wildlife Rescue  [#permalink]

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New post 12 Nov 2019, 01:25
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(1) It costs more than $1,000 annually to feed 4 raccoons.
So, it costs more than 250 to feed a raccoon.
Hence it will cost more than 7*250 = 1750 to feed 7 raccoons.
now, it may be possible to feed racoon in 1800 or 3000.
hence it is INSUFFICIENT

(2) It costs more than $1,500 annually to feed 5 raccoons.
So, it costs more than 300 to feed a raccoon.
Hence it will cost more than 7*300 = 2100 to feed 7 raccoons.
now, it is greater than 2000 to feed 7 raccoons.
SUFFICIENT

Answer B
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Re: The total cost of food for the raccoons at the Arizona Wildlife Rescue  [#permalink]

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New post 12 Nov 2019, 02:11
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The total cost of food for the raccoons at the Arizona Wildlife Rescue has increased as the number of raccoons at the Rescue has increased. If it costs the same amount to feed each raccoon, is the cost of food for 7 raccoons more than $2,000 annually?

Total cost of food for 7 raccoons > 2000 ??
Cost of food for one raccoon > \(\frac{2000}{7}\) i.e. 285.7 ??

(1) It costs more than $1,000 annually to feed 4 raccoons.
Cost of food for 4 raccoons > 1000
Cost of food for one raccoon > \(\frac{1000}{4}\)
Cost of food for one raccoon > 250

If Cost of food for one raccoon = 251 NO
IF Cost of food for one raccoon = 300 YES

INSUFFICIENT.

(2) It costs more than $1,500 annually to feed 5 raccoons.
Cost of food for 5 raccoons > 1500
Cost of food for one raccoon > \(\frac{1500}{5}\)

Cost of food for one raccoon > 300 YES

SUFFICIENT.

Answer B.
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Re: The total cost of food for the raccoons at the Arizona Wildlife Rescue  [#permalink]

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New post 12 Nov 2019, 02:24
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cost of feeding a raccoon = x
so for 7 raccoon 7*x >2000$
#1
It costs more than $1,000 annually to feed 4 raccoons.
4x>1000
x>250
we get yes and no insufficient
#2
It costs more than $1,500 annually to feed 5 raccoons.
5x>1500
x>300
sufficient
IMO B

The total cost of food for the raccoons at the Arizona Wildlife Rescue has increased as the number of raccoons at the Rescue has increased. If it costs the same amount to feed each raccoon, is the cost of food for 7 raccoons more than $2,000 annually?

(1) It costs more than $1,000 annually to feed 4 raccoons.

(2) It costs more than $1,500 annually to feed 5 raccoons.
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Re: The total cost of food for the raccoons at the Arizona Wildlife Rescue  [#permalink]

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New post 12 Nov 2019, 03:09
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the cost of food for 7 raccoons more than $2,000 annually?

(1) It costs more than $1,000 annually to feed 4 raccoons.

Then cost to feed one raccoon will be > 250
Then for 7 raccoons > 1750 can be <2000
Insufficient


(2) It costs more than $1,500 annually to feed 5 raccoons.

Then cost to feed one raccoon will be > 300
Then for 7 raccoons > 2100
Sufficient....to say it's >2000

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Re: The total cost of food for the raccoons at the Arizona Wildlife Rescue  [#permalink]

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New post 12 Nov 2019, 03:15
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Quote:
The total cost of food for the raccoons at the Arizona Wildlife Rescue has increased as the number of raccoons at the Rescue has increased. If it costs the same amount to feed each raccoon, is the cost of food for 7 raccoons more than $2,000 annually?

(1) It costs more than $1,000 annually to feed 4 raccoons.
(2) It costs more than $1,500 annually to feed 5 raccoons.


It costs the same to feed each racoon;
Is the cost to feed 7r > 2000, r>2000/7, r>285.7m?

(1) It costs more than $1,000 annually to feed 4 raccoons. insufic
4r>1000…r>250;

(2) It costs more than $1,500 annually to feed 5 raccoons. sufic
5r>1500…r>300>285.7;

Ans (B)
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Re: The total cost of food for the raccoons at the Arizona Wildlife Rescue  [#permalink]

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New post 12 Nov 2019, 06:14
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Let the cost of food for each raccoon = x

Asked: Is 7x > 2000 ?
Or x > 2000/7 = 285.7 ?

(1) It costs more than $1,000 annually to feed 4 raccoons.
—> 4x > 1000
—> x > 250
—> x can be greater than 285.7 or less —> Insufficient

(2) It costs more than $1,500 annually to feed 5 raccoons.
—> 5x > 1500
—> x > 300
—> x is ALWAYS greater than 285.7 —> Sufficient

IMO Option B

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Re: The total cost of food for the raccoons at the Arizona Wildlife Rescue  [#permalink]

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New post 12 Nov 2019, 11:33
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(1) It costs more than $1,000 annually to feed 4 raccoons.

i.e cost to feed each racoon is atleast 1000.04/4= 250.01 but could be 400 also

cost of 7 racoons if 250 = 1750 (in which case answer is NO to the question)

cost of 7 racoons if 400 = 2800 (in which case answer is Yes to the question)

Insufficient

(2) It costs more than $1,500 annually to feed 5 raccoons.

i.e cost to feed each racoon is atleast 1500.04/4= 300.01 but could be 400 also

cost of 7 racoons if 300 = 2100 (in which case answer is Yes to the question)

cost of 7 racoons if 400 = 2800 (in which case answer is Yes to the question)

Sufficient

Therefore answer is B
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Re: The total cost of food for the raccoons at the Arizona Wildlife Rescue  [#permalink]

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New post 12 Nov 2019, 12:46
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From the question stem we know that it costs the same amount to feed a raccoon. We are also required to determine whether it will cost more than $2,000 to feed 7 raccoons annually?

In other words is the cost of feeding a raccoon per year more than 2000/7 = $285.71?

Statement 1: It costs more than $1000 to feed four raccoons a year.
This is not sufficient. This is because from the given statement, the cost of feeding 4 raccoons can be 1004 and from this we can deduce that it costs $251 dollars to feed a raccoon a year, which is less than $285.71. However if the cost is $2,000 to feed 4 raccoons in a year, then it would cost $500 to feed a raccoon in a year and this is more than $285.71.

2. It costs more than $1,500 to feed 5 raccoons annually.
This is sufficient. We know that it costs more than $300 to feed a raccoon and this is more than $285.71. So we can conclusive say that it costs more than $2000 to feed 7 raccoons.

The answer is option B.

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Re: The total cost of food for the raccoons at the Arizona Wildlife Rescue  [#permalink]

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New post 12 Nov 2019, 14:00
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The total cost of food for the raccoons at the Arizona Wildlife Rescue has increased as the number of raccoons at the Rescue has increased. If it costs the same amount to feed each raccoon, is the cost of food for 7 raccoons more than $2,000 annually?

(1) It costs more than $1,000 annually to feed 4 raccoons.

(2) It costs more than $1,500 annually to feed 5 raccoons

(1) Lets say, it takes $1,004 annually to feed 4 raccoons. So, to feed 7 raccoons it will take (251*7), which is less than $2,000. Again if it takes $1,200 to feed 4 raccoons, then 7 raccoons will need more than $2,000. NOT SUFFICIENT.

(2) As to feed 1 raccoon costs more than $300, so 7 raccoons will need more than $2,000. SUFFICIENT.

B is the answer.
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Re: The total cost of food for the raccoons at the Arizona Wildlife Rescue  [#permalink]

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New post 12 Nov 2019, 21:03
1
The total cost of food for the raccoons at the Arizona Wildlife Rescue has increased as the number of raccoons at the Rescue has increased. If it costs the same amount to feed each raccoon, is the cost of food for 7 raccoons more than $2,000 annually?

(1) It costs more than $1,000 annually to feed 4 raccoons.

(2) It costs more than $1,500 annually to feed 5 raccoons.

we need to find that for 7 racoons will require more than 2000 feed annually? Yes or No

Statement 1= 1000 or more feed is required for 4 racoons

Lets calculate the smallest number 1000 feed for 4 racoons the how much for 7 racoons

1000 * 7/4= 1750 No

if it is 12000 then 1200*7/4= 2100 Yes. Therefore statement 1 is insufficient.

Statement 2: It costs more than $1,500 annually to feed 5 raccoons

lets begin with the smallest number 1500

1500 *7/5= 2100 yes.

There statement 2 is sufficient

IMO B
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Re: The total cost of food for the raccoons at the Arizona Wildlife Rescue   [#permalink] 12 Nov 2019, 21:03
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